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9121002112 = 271710973821
BaseRepresentation
bin10000111111010011…
…10111001010000000
3212112122202220201001
420133221313022000
5122134434031422
64105022421344
7442012144615
oct103751671200
925478686631
109121002112
113960627982
121926731854
13b24868391
1462751250c
15385b2e227
hex21fa77280

9121002112 has 64 divisors (see below), whose sum is σ = 19262192040. Its totient is φ = 4287201280.

The previous prime is 9121002103. The next prime is 9121002113. The reversal of 9121002112 is 2112001219.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8976425536 + 144576576 = 94744^2 + 12024^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 9121002112.

It is not an unprimeable number, because it can be changed into a prime (9121002113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2385162 + ... + 2388982.

Almost surely, 29121002112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9121002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9631096020).

9121002112 is an abundant number, since it is smaller than the sum of its proper divisors (10141189928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9121002112 is a wasteful number, since it uses less digits than its factorization.

9121002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4949 (or 4937 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 9121002112 is about 95503.9376779827. The cubic root of 9121002112 is about 2089.3643749805.

The spelling of 9121002112 in words is "nine billion, one hundred twenty-one million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 1097 2176 2194 3821 4388 7642 8776 15284 17552 18649 30568 35104 37298 61136 64957 70208 74596 122272 129914 140416 149192 244544 259828 298384 489088 519656 596768 1039312 1193536 2078624 2387072 4157248 4191637 8314496 8383274 16766548 33533096 67066192 71257829 134132384 142515658 268264768 285031316 536529536 570062632 1140125264 2280250528 4560501056 9121002112